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20 September, 03:40

In rectangle MNPQ, m∠QMP = 2m∠NMP and MP = 12 ft. Find MQ.

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  1. 20 September, 06:44
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    MQ=6

    Step-by-step explanation:

    ∠QMP and ∠NMP are complementary. (They are parts of one of the corner angles.)

    ∠QMP is 2/3 of the right angle (60 deg) and ∠NMP is 1/3 (30 deg).

    The leg opposite the 30 deg angle in a right triangle is half the length of the hypotenuse.

    That is MQ = 12/2 = 6.
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